Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If you need an accessible version of this item please contact JSTOR User Support

Partial Least Squares Regression and Statistical Models

Inge S. Helland
Scandinavian Journal of Statistics
Vol. 17, No. 2 (1990), pp. 97-114
Stable URL: http://www.jstor.org/stable/4616159
Page Count: 18
  • Read Online (Free)
  • Download ($12.00)
  • Cite this Item
If you need an accessible version of this item please contact JSTOR User Support
Partial Least Squares Regression and Statistical Models
Preview not available

Abstract

The calibration method PLS1 is described in terms of the joint covariance structure of the explanatory variables and the predicted variable. In the population version it is possible to give simple conditions for when the PLS algorithm stops after a certain number of steps, and it turns out that the resulting predictor is the same as the one given by principal component regression. The concept of relevant components is defined, and the relationship to factor analysis models is discussed. Finally, the implications for the sample version of PLS are considered, both for the case when it is used as a prediction method, and for the case when scores and loadings from PLS--in a similar way as the scores and loadings from factor analysis--are used in the interpretation of data.

Page Thumbnails

  • Thumbnail: Page 
[97]
    [97]
  • Thumbnail: Page 
98
    98
  • Thumbnail: Page 
99
    99
  • Thumbnail: Page 
100
    100
  • Thumbnail: Page 
101
    101
  • Thumbnail: Page 
102
    102
  • Thumbnail: Page 
103
    103
  • Thumbnail: Page 
104
    104
  • Thumbnail: Page 
105
    105
  • Thumbnail: Page 
106
    106
  • Thumbnail: Page 
107
    107
  • Thumbnail: Page 
108
    108
  • Thumbnail: Page 
109
    109
  • Thumbnail: Page 
110
    110
  • Thumbnail: Page 
111
    111
  • Thumbnail: Page 
112
    112
  • Thumbnail: Page 
113
    113
  • Thumbnail: Page 
114
    114